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Abstract

A new formulation of the cusp catastrophe is used to model the fundamental biological functions of predation and reproduction. This new representation lies on the decomposition of the overall cusp potential in two component potentials individualising the conflicting pregnances. It results in a more accurate and less problematic description than the original proposition by R. Thom, mostly due to the use of parameters with strong physical and evocative power. For instance, it gives a very suggestive account for such biologically significant processes as digestion and assimilation, or pregnancy and delivery. Two couples of parameters are used in the new representation of the cusp: one defines the exact shape of the conflicting attractors which symbolises genetic coding, the other controls the deformation of-and interaction between-the two attractors and represent hormonal effects. This new description strikingly echoes Heidegger's philosophical thought on ontological difference, by giving a representation of the distinct concepts of entity and Being. It thus precludes a previous criticism concerning the impossibility for catastrophic models to depict the entity level. Such a type of representation might be useful in translating syntactical-semantic models of catastrophe theory into computer language.

Neutron Diffraction and TEM Studies of the Crystal Structure and Defects of Nd4Ni3O8

“…The (11). Each member of this super-family can be specified by the corresponding (n, p) couple (see Fig.…”

Temperature and high-pressure dependent x-ray absorption of SmNiO3at the Ni K and Sm L3edges

“…In those last compounds, the temperature of the metal-insulator transition is different from the Néel temperature so that the magnetic ordering now develops upon cooling in an insulating matrix. [20] The temperature of T IM is higher decreasing the Rare Earth ion size due to an increment in the topological deviates from the ideal perovskite structure. [20] The same non-collinear magnetic structure is however shared by all RNiO 3 (R= Rare Earth≠ La)).…”

“…[20] The temperature of T IM is higher decreasing the Rare Earth ion size due to an increment in the topological deviates from the ideal perovskite structure. [20] The same non-collinear magnetic structure is however shared by all RNiO 3 (R= Rare Earth≠ La)). The magnetic ground state consists of an unusual antiferromagnetic structure, with k=(1/2,0,1/2) relative to the orthorhombic crystal cell.…”